Yes. Logarithms to the base 10 are called common logarithms, and 2 is the correct common logarithm for 100.
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log(36,200) = 4.558709 (rounded)log[log(36,200)] = 0.658842 (rounded)
Logarithms can be taken to any base. Common logarithms are logarithms taken to base 10; it is sometimes abbreviated to lg. Natural logarithms are logarithms taken to base e (= 2.71828....); it is usually abbreviated to ln.
It is because the logarithm function is strictly monotonic.
Common
The logarithm to the base 10 of 100 is 2, because 102 = 100.